What is the Greatest Common Factor of 47637 and 47643?

Greatest common factor (GCF) of 47637 and 47643 is 3.

GCF(47637,47643) = 3

We will now calculate the prime factors of 47637 and 47643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47637 and 47643.

How to find the GCF of 47637 and 47643?

We will first find the prime factorization of 47637 and 47643. After we will calculate the factors of 47637 and 47643 and find the biggest common factor number .

Step-1: Prime Factorization of 47637

Prime factors of 47637 are 3, 67, 79. Prime factorization of 47637 in exponential form is:

47637 = 3² × 67¹ × 79¹

Step-2: Prime Factorization of 47643

Prime factors of 47643 are 3, 15881. Prime factorization of 47643 in exponential form is:

47643 = 3¹ × 15881¹

Step-3: Factors of 47637

List of positive integer factors of 47637 that divides 47637 without a remainder.

1, 3, 9, 67, 79, 201, 237, 603, 711, 5293, 15879

Step-4: Factors of 47643

List of positive integer factors of 47643 that divides 47637 without a remainder.

1, 3, 15881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47637 and 47643. The biggest common factor number is the GCF number.
So the greatest common factor 47637 and 47643 is 3.

Also check out the Least Common Multiple of 47637 and 47643